Determine whether the pair of lines is parallel, perpendicular, or neither.
x-8y=-4
y=6x-8
Choose the correct answer below.
A.
The two lines are neither parallel nor perpendicular.
B.
More information is needed.
C.
The two lines are perpendicular.
D.
The two lines are parallel.
To determine if the two lines are parallel, we need to compare their slopes. The given equations are in the form of y = mx + b, where m represents the slope.
For the first equation, x - 8y = -4, we can rearrange it to be in slope-intercept form: y = (1/8)x + 1/2. Thus, the slope of the first equation is 1/8.
For the second equation, y = 6x - 8, the slope is 6.
Since the slopes of the two lines are different (1/8 and 6), the lines are not parallel.
To determine if the two lines are perpendicular, we need to check if the product of their slopes is -1.
The product of the slopes, (1/8) * 6 = 6/8 = 3/4, is not equal to -1. Therefore, the lines are also not perpendicular.
Hence, the correct answer is A. The two lines are neither parallel nor perpendicular.